Finding the Fourth Proportional to 1,015,504,414.50, 1,400,802,355.53 and 638,564,434.14
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Solution
The fourth proportional to 1,015,504,414.50, 1,400,802,355.53 and 638,564,434.14 is: 880,845,568.69
Step by Step Solution
- Step 1: Write the proportion equation
1,015,504,414.50 : 1,400,802,355.53 = 638,564,434.14 : x - Step 2: Convert to fraction form
1,015,504,414.50/1,400,802,355.53 = 638,564,434.14/x - Step 3: Cross multiply
1,015,504,414.50x = 1,400,802,355.53 × 638,564,434.14 - Step 4: Simplify right side
1,015,504,414.50x = 894,502,563,500,993,536 - Step 5: Solve for x
x = 894,502,563,500,993,536/1,015,504,414.50 - Step 6: Final answer
x = 880,845,568.69
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.